If the measure of angle 2 is 155 degrees, what is the measure of angle?

Answer:

[tex]a_n=-10n+150[/tex]

Step-by-step explanation:

This is consider a linear pattern (arithmetic pattern).

We know this because it is either going up or down by the same number each time. It's going down by 10 in this case.

So -10 is the slope of this linear pattern.

The equation for a linear pattern is:

y=mx+b

where x represents the position the term is in

and

where y represents the actual term

and

where m is the slope

So we have y=-10x+b.

(x,y)

(term position in sequence, actual term)

(1,140)

(2,130)

(3,120)

(4,110)

We can find b by using a number with it's position in the sequence (that is plug in one of your points above).

y=-10x+b

140=-10(1)+b

140=-10+b

150=b (after adding 10 on both sides)

The explicit equation for the sequence is y=-10x+150.

They probably prefer you to write: [tex]a_n=-10n+150[/tex] instead.

Answer:

180

Step-by-step explanation:

Every hour is 60 minutes. To find the total number of minutes she studied, you would have to multiply 3 x 60.

3 x 60 = 180

Answer: 180 minutes.

Step-by-step explanation: 3 hours is equal to 60+60+60 because there is 60 minutes in 1 hour so 60+60 is 120+60=180 therefore, she studied for 180 minutes.

Answer:

A = 78.5

Step-by-step explanation:

to find the area of a quarter of a circle, find the area of the whole circle and divide it by 4:

A = (π[tex]r^{2}[/tex]) ÷ 4

A = (3.14 x [tex]10^{2}[/tex])  ÷ 4

A = (3.14 x 100)  ÷ 4

A = 314  ÷ 4

A = 78.5

Answer:

11.5 ft

Step-by-step explanation:

Take the cone formula:

V = 3.14 * 1^2 * 11/3 = 11.5 ft

Answer:

Step-by-step explanation:

Do tell, if that's what you mean. If you're asking me, I'm not sure I know!

Answer:

The equation of the line is:

[tex]y = -\frac{1}{2}x + 3[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, this means that the multiplication of their slopes is -1.

Perpendicular to y=2x+7

This means that:

[tex]2m = -1[/tex]

[tex]m = -\frac{1}{2}[/tex]

So

[tex]y = -\frac{1}{2}x + b[/tex]

Passing through the point (-4,5)

This means that when [tex]x = -4, y = 5[/tex]. We use this to find b.

[tex]y = -\frac{1}{2}x + b[/tex]

[tex]5 = -\frac{1}{2}(-4) + b[/tex]

[tex]2 + b = 5[/tex]

[tex]b = 3[/tex]

The equation of the line is:

[tex]y = -\frac{1}{2}x + 3[/tex]

Answer:

The first one because the width and the length make the box of ice cream look bigger.

Step-by-step explanation:

Answer: y>-2/6+2

Step-by-step explanation:

We know it's greater then so we just need to find the line. Let's look at the Slope, since 0,2 is greater than -6,4 we start there. The y of 0,2 is 2 so we subtract 4 from 2 which is -2 and now we subtract -6 from 0 which is 6 so now we have -2/6 and the intercept is 2 so we now have y=mx+b which is the line in black: y=-2/6+2. But it is greater than so its y>-2/6+2

Answer:

A) $6.87

B) $3.09

Step-by-step explanation:

Answer:

37 cubic cm should be the answer sorry if I am wrong

Answer:

C. 66n - 31m

Step-by-step explanation:

26n - 7m + 4(10n - 6m)

26n - 7m + 40n - 24m

26n - 31m + 40n

66n - 31m

Answer:

no of science teachers is 20

no of students is 600

ratio=20/600

=20:600

=1:30

pls give me brainliest

Answer:

Not sure what your asking but theirs a repeating domain so THIS IS NOT A FUNCTION

Answer:

Part 1: 21.375 Acres

Part 2: 15.8175 Acres

Answer:

d

Step-by-step explanation:

Answer:

For The Number 6 Its A

For The Number 7 The Volume is 400

Answer:

70 club members in all

Step-by-step explanation:

we know that 14 people is equal to 20%

we also know that to get 20% to 100% you multiply by 5

So, what I did was mmultiply 14 by 5 therefore bringing 14 (20%) to 70 (100%)

hope this makes sense. for other values you could just see what to multiply the percent by to get to 100 and multiply the known number by that value.

hope this helps <3

Answer:

70 members

Step-by-step explanation:

Whatever the % is, the answer on the right side of the equation must by 14

So 20% of some number = 14.

20/100 x = 14                Remember 20% = 20 / 100. Multiply by 100

20x = 14*100

20x = 1400                   Divide by 20

x = 1400/20

x = 70

There are 70 members in the club.

Kids are done no differently.

The number of people who fulfill the condition goes on the right. The left contains the % and an unknown.

Step-by-step explanation:

6(3+4) - 5(1+2)

= 6 x 7 - 5 x 3

= 42 - 15

= 27

Step-by-step explanation:

6(3+4) - 5(1+2)

6×7 - 5×3

42 - 15 = 27

Answer: -32-126i

Step-by-step explanation:

Answer:

b = 12

Step-by-step explanation:

a^2 + b^2 = c^2

25 + b^2 = 169

b^2 = 144

b = 12

Answer:

3rd option

∠JGH= 1/2∠JIH

Step-by-step explanation:

This is because of the circle theorem that states that angle at center is equal to two times the equal at circumference

Answer:

Step-by-step explanation:

Use the Pythagorean Theorem.

h² = 5² - 3² = 4²

h = 4 in

answer::::::::::::::::::::

Basically

Answer:

no

Step-by-step explanation:

The 6th and 5th terms of the giving sequence are respectively; 24 and 15

We are given the first 3 terms of the sequence as; 1, 3 and 5.

We are told that the 7th term is 35.

Let xₙ be the nth term number in the quadratic sequence

dₙ is first difference number in the quadratic sequence

From the given sequence, we see that there is a common difference of 2 for the first 3 terms and so they follow an arithmetic sequence which is;

dₙ = 2n - 1

However, when we apply this up to the 7th term, that would not work. Thus, let us use the differences. We see that sum of two consecutive number position of terms is equal to the difference between the two consecutive terms.

Thus;

difference between 3rd and 4th term = 3 + 4 = 7

difference between 5th and 6th term = 4 + 5 = 9

difference between 6th and 7th term = 5 + 6 = 11

Thus, since 7th term is 35, then;

6th term = 35 - 11 = 24

5th term = 24 - 9 = 15

Read more about Arithmetic Sequence at; https://brainly.com/question/6561461

Answer:

[tex]AB = 3.6[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Distance AB

From the graph:

[tex]A = (-2,1)[/tex]

[tex]B = (1,-1)[/tex]

The distance is:

[tex]AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]AB = \sqrt{(-2 -1)^2 + (1- -1)^2}[/tex]

[tex]AB = \sqrt{(-2 -1)^2 + (1+1)^2}[/tex]

[tex]AB = \sqrt{13}[/tex]

[tex]AB = 3.6[/tex]

Answer:

what is the question

Step-by-step explanation:

9514 1404 393

Answer:

  ∠Q = 89°

  ∠R = 123°

  ∠S = 91°

Step-by-step explanation:

It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.

  arc QRS = 2·∠P = 114°

So, ...

  arc QR = arc QRS - arc RS = 114° -41° = 73°

The total of the arcs around the circle is 360°, so ...

  arc PQ = 360° -arc PS -arc QRS

  arc PQ = 360° -137° -114° = 109°

__

  ∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)

  ∠Q = 89°

__

  ∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)

  ∠R = 123°

__

  ∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)

  ∠S = 91°